Pressure of Gas Formula:
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Definition: This calculator computes the pressure exerted by a gas based on its density and the root mean square speed of its molecules.
Purpose: It helps in understanding the kinetic theory of gases and the relationship between microscopic molecular motion and macroscopic pressure.
The calculator uses the formula:
Where:
Explanation: The pressure is calculated as one-third of the product of gas density and the square of the root mean square speed of its molecules.
Details: Understanding gas pressure is fundamental in thermodynamics, fluid mechanics, and various engineering applications involving gases.
Tips: Enter the gas density in kg/m³ and root mean square speed in m/s. All values must be positive numbers.
Q1: What is root mean square speed?
A: It's the square root of the average of the squares of the speeds of all the molecules in a gas.
Q2: What units should I use for density?
A: The calculator expects density in kilograms per cubic meter (kg/m³).
Q3: Why is there a 1/3 factor in the formula?
A: The factor accounts for the three-dimensional nature of molecular motion (x, y, z directions).
Q4: What's a typical density for common gases?
A: Air at STP is about 1.225 kg/m³, hydrogen is 0.0899 kg/m³, and oxygen is 1.429 kg/m³.
Q5: How accurate is this calculation for real gases?
A: This is ideal for ideal gases. Real gases may require corrections for intermolecular forces and molecular volume.